Introduction to Coding Theory || What is Codes || Cryptography || encode | Decoder | Bsc Mathematics

#Education_trip Coding theory | Error Correcting Code | Hamming Weight | Hamming Distance | Block Code | Binary Code | q-array Code | Bsc | Msc | Best Explanation Present Video Notes, Download PDF Link : Video for 1st Class admission in AMU Link : https://youtu.be/mUVSCgfB5Xk Class 10th video Playlist Link : 10th class SCIENCE: https://www.youtube.com/playlist?list=PLJYOD_yKcQOsDFw7U2d6C2XWkcxR9S50D Part 1 Link : Part 2 Link : B.sc Mathematics Videos Link : Subjects 1) Analytical Geometry Playlist Link : Analytical Geometry Bsc Mathematics: https://www.youtube.com/playlist?list=PLJYOD_yKcQOufvk4xXgPLh6eCQLaOhc5z 2) Vector Space Playlist Link : Linear Algebra, Vector Space: https://www.youtube.com/playlist?list=PLJYOD_yKcQOvfnbNAnZnYklK5Ts1KjWqT 3) Dynamical System playlist Link : Dynamical System: https://www.youtube.com/playlist?list=PLJYOD_yKcQOs1Om_injP4bvFBlCr1gIGT Subject : Coding Theory Unit-I The communication channel, The coding problem, Block codes, Hamming metric, Nearest neighbour decoding, Linear codes, Generator and Parity-check matrices, Dual code, Standard array decoding, Syndrome decoding. Unit-II Hamming codes, Golay codes, Reed-Muller codes, Codes derived from Hadamard matrices. Bounds on codes: Sphere packing bound, Perfect codes, Gilbert-Varshamov bound, Singleton bound, MDS codes, Plotkin bound. Unit-III Weight distributions of codes, Mac Williams identities. Algebra of polynomials, Residue class rings, Finite fields, Cyclic codes, Generator polynomial and check polynomial, Defining set of a cyclic code. Unit-IV BCH bound, Encoding and decoding of cyclic codes, Hamming and Golay codes as cyclic codes, BCH codes, Reed-Solomon codes, Quadratic residue codes, Graphical codes, Convolutional codes. Books Recommended: 1. F.J. Mac Williams and N.J.A.Sloane: The Theory of Error Correcting Codes, North Holland, 1977. 2. S. Ling and C. Xing, Coding Theory: A First Course, Cambridge University Press, 2004. 3. R.M. Roth: Introduction to Coding Theory, Cambridge University Press, 2006. 4. V. Pless: Introduction to the Theory of Error Correcting Codes, 3rd Ed., John Wiley, 1999. 5. W.C. Huffman, and V. Pless: Fundamentals of Error Correcting Codes, Cambridge University Press, 2003. 6. J. H. Van Lint: Introduction to Coding Theory, 3rd Ed., Springer, 1998. 7. T. K. Moon: Error Correction Coding, John Wiley and Sons, 2005.